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Finding the Fourth Proportional to 3,066.82, 4,598.91 and 986.14

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Solution

The fourth proportional to 3,066.82, 4,598.91 and 986.14 is: 1,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.82 : 4,598.91 = 986.14 : x
  2. Step 2: Convert to fraction form
    3,066.82/4,598.91 = 986.14/x
  3. Step 3: Cross multiply
    3,066.82x = 4,598.91 × 986.14
  4. Step 4: Simplify right side
    3,066.82x = 4,535,169.11
  5. Step 5: Solve for x
    x = 4,535,169.11/3,066.82
  6. Step 6: Final answer
    x = 1,478.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.